The focus of this paper is the syntax of inverse scope in Hungarian, a language that largely disambiguates quantifier scope at spell-out. Inverse scope is attributed to alternate orderings of potentially large chunks of structure, but with appeal to base-generation, as opposed to nonfeature-driven movement as in Kayne 1998. The proposal is developed within mirror theory and conforms to the assumption that structures are antisymmetrical. The paper also develops a matching notion of scope in terms of featural domination, as opposed to c-command, and applies it to otherwise problematic cases of pied piping. Finally, the interaction of different quantifier types is examined and the patterns are explained invoking morphological considerations on one hand and A-bar reconstruction on the other